Research on Delivery Times Scheduling With Sum of Logarithm Processing Times-Based Learning Effect

Author:

Lei Weidong1,Sun Linhui1,Ren Na2,Jia Xue2,Wang Ji-Bo2

Affiliation:

1. College of Management, Xi’an University of Science and Technology, Xi’an 710054, P. R. China

2. School of Science, Shenyang Aerospace University, Shenyang 110136, P. R. China

Abstract

In this paper, we address single-machine scheduling with sum of logarithm processing times-based learning effect. Under exponential past-sequence-dependent delivery times, we proved that the makespan and total completion time minimizations can be solved by the smallest processing time (SPT) first rule. Under the agreeable weight condition and agreeable due date condition, we show that the total weighted completion time minimization and maximum tardiness minimization can be solved in polynomial time, respectively.

Funder

Humanity and Social Science Youth Foundation of Ministry of Education of China

Natural Science Basic Research Plan in Shaanxi Province of China

China Postdoctoral Science Foundation

Postdoctoral Science Foundation in Shaanxi Province of China

LiaoNing Revitalization Talents Program

Publisher

World Scientific Pub Co Pte Ltd

Subject

Management Science and Operations Research,Management Science and Operations Research

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